Representation of Game Algebras

Studia Logica 75 (2):239-256 (2003)
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Abstract

We prove that every abstractly defined game algebra can be represented as an algebra of consistent pairs of monotone outcome relations over a game board. As a corollary we obtain Goranko's result that van Benthem's conjectured axiomatization for equivalent game terms is indeed complete.

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Yde Venema
University of Amsterdam

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